3z+11=5z-43

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Solution for 3z+11=5z-43 equation: 


Simplifying
3z + 11 = 5z + -43

Reorder the terms:
11 + 3z = 5z + -43

Reorder the terms:
11 + 3z = -43 + 5z

Solving
11 + 3z = -43 + 5z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-5z' to each side of the equation.
11 + 3z + -5z = -43 + 5z + -5z

Combine like terms: 3z + -5z = -2z
11 + -2z = -43 + 5z + -5z

Combine like terms: 5z + -5z = 0
11 + -2z = -43 + 0
11 + -2z = -43

Add '-11' to each side of the equation.
11 + -11 + -2z = -43 + -11

Combine like terms: 11 + -11 = 0
0 + -2z = -43 + -11
-2z = -43 + -11

Combine like terms: -43 + -11 = -54
-2z = -54

Divide each side by '-2'.
z = 27

Simplifying
z = 27

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